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Empowering Mathematics Teachers In Evaluating Textbooks: A Praxeological Approach To Enhancing Constructive Skepticism Hendriyanto, Agus; Abdurahman, Ayi; Winarni, Wiwin; Utomo, Utomo; Sajidin, Sajidin; Fatmasari, Deasy; Syaifana, Elsya; Muhaimin, Lukman Hakim
Mathline : Jurnal Matematika dan Pendidikan Matematika Vol. 10 No. 2 (2025): Mathline : Jurnal Matematika dan Pendidikan Matematika
Publisher : Universitas Wiralodra

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31943/mathline.v10i2.890

Abstract

This study aims to empower mathematics teachers in evaluating textbooks through the praxeological approach and the development of a constructive skepticism attitude. Textbooks are often used without critical evaluation, which can hinder the development of students' critical thinking skills. The praxeological approach provides a framework based on practical experience, while constructive skepticism encourages in-depth analysis of textbook content. The study employed a qualitative method with a hermeneutic phenomenological approach, involving 20 mathematics teachers in Sukabumi. Data were collected using semi-structured interviews and questionnaires, which explored teachers' criteria for textbook evaluation, challenges in using textbooks, and their attitudes toward textbook content. Thematic analysis was used to analyze the data, allowing the identification of patterns and themes related to teachers' evaluation practices. The results showed that training based on praxeology and constructive skepticism improved teachers' ability to evaluate textbooks, identify weaknesses, and select more relevant materials. This study recommends collaborative training programs to support more critical textbook evaluations, with the goal of enhancing the quality of mathematics education in Indonesia.
Sintering Behavior of Lampung Limestone-Based Hydroxyapatite for Use as a Bone Filler Material Saputra, Rizal Adi; Sukmana, Irza; Hendriyanto, Agus; Riszal, Akhmad; Hendronursito, Yusup; Wicaksono, Mahruri Arif
International Journal of Aviation Science and Engineering - AVIA Vol. 6 No. 2: (December, 2024)
Publisher : FTMD Institut Teknologi Bandung

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.47355/avia.v6i2.141

Abstract

Limestone from Mount (Mt.) Beranti, Lampung Province, contains 97.43% calcium carbonate (CaCO₃), making it a suitable natural precursor for synthesizing hydroxyapatite (HA). HA is widely utilized as a bone tissue filler, particularly in treating osteoporosis. In this study, CaCO₃ was processed using ball milling at 300 rpm for durations of 2, 3, and 4 hours, followed by sintering at temperatures of 600°C, 800°C, and 1000°C for holding times of 2, 3, and 4 hours. FTIR analysis using the hydrothermal method on calcined limestone powder revealed characteristic peaks corresponding to phosphate (PO₄³⁻) at 1025.45 cm⁻¹, calcium oxide (Ca–O) at 1413.59 cm⁻¹, and hydroxyl (O–H) at 3030.33 cm⁻¹, which closely resemble those found in commercial HA. SEM-EDX analysis at 1000°C for 4 hours showed a homogenous microstructure, with EDX results indicating the highest concentrations of calcium and phosphate after milling for 2 hours. Vickers hardness testing confirmed the highest hardness value was also achieved at 1000°C for 4 hours. Overall, the FTIR, SEM-EDX, and microhardness results demonstrate enhanced properties of HA, supporting its effectiveness as a material for filling porous bone tissue. Keywords: Limestone; Hydroxyapatite (HA); Calcium Carbonate (CaCO3); Bone Filler
A Systematic Review of Ethnomathematics Research (2019–2023): Cultural Integration in Mathematics Teaching and Learning Setiaputra, Felix Indra; Subanti, Sri; Usodo, Budi; Triyanto, Triyanto; Fitriana, Laila; Hendriyanto, Agus
Jurnal Pendidikan MIPA Vol 26, No 1 (2025): Jurnal Pendidikan MIPA
Publisher : FKIP Universitas Lampung

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.23960/jpmipa.v26i1.pp195-211

Abstract

This systematic literature review (SLR) examines ethnomathematics in the period 2019–2023 using the PRISMA protocol. By analyzing the Scopus and ERIC databases, 24 relevant articles were found. Ethnomathematics is an interdisciplinary field that studies the practices, knowledge, and cultural aspects of mathematics in various societies. This SLR aims to provide an overview of the latest research trends, methodologies, and main findings in ethnomathematics. The review process included analysis of titles, abstracts, and full texts, with data extraction related to the year of publication, authors, research objectives, methodology, and main findings. The data obtained were analyzed to identify research patterns and gaps. The results of the study show an increasing interest in exploring cultural mathematical practices and the impact of cultural factors on mathematics learning. Various methodological approaches were used, such as qualitative, quantitative, ethnographic, and cross-cultural comparison studies. Key findings include the integration of ethnomathematics in education, cultural relevance in the curriculum, and the development of culturally responsive pedagogy. The review also highlights the need for further research, especially related to the representation of underrepresented cultures or regions. Overall, this SLR provides a comprehensive review of recent research in ethnomathematics, identifying trends, methodologies, and key findings. The study contributes to the discussion on cultural diversity and inclusivity in mathematics education, serving as a valuable reference for researchers, educators, and policymakers.        Keywords: ethnomodeling, ethnomathematics, systematic literature review (SLR).
Dissecting thought patterns: Analyzing how cognitive fragmentation affects conceptualization and problem-solving abilities in junior high school students Usodo, Budi; Sutopo, Sutopo; Nurhasanah, Farida; Chrisnawati, Henny Ekana; Kuswardi, Yemi; Hendriyanto, Agus
Al-Jabar: Jurnal Pendidikan Matematika Vol 14 No 2 (2023): Al-Jabar: Jurnal Pendidikan Matematika
Publisher : Universitas Islam Raden Intan Lampung, INDONESIA

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24042/ajpm.v14i2.17064

Abstract

Background: This research is rooted in the exploration of a nuanced understanding of the effect of cognitive fragmentation on the conceptual grasp and problem-solving competencies among junior high school students.Aim: The principal aim of this investigation is to delve into the way cognitive fragmentation influences the conceptualization and problem-solving faculties of pupils aged 12-14, from varied academic milieus.Method: Employing a qualitative research blueprint, specifically phenomenological inquiry, the study probes into the subjective experiences and cognitions of the participants. Purposefully chosen for this research, the participants consist of junior high school students. The multi-faceted data collection approach includes task-centered, in-depth individual interviews with students and Focus Group Discussions with educators. The amassed data are then meticulously examined through thematic analysis.Result: Findings of the research reveal diverse manifestations of cognitive fragmentation among the learners. A phenomenon termed 'Pseudo construction' emerges when learners articulate correct responses without wholly comprehending the foundational concepts. 'Mis analogical construction' is recognized when incorrect analogies are deployed in problem-solving, culminating in fallacious solutions. 'Construction holes' are detected when learners exhibit inconsistent responses owing to an absence of alignment with scientific principles.Conclusion: In summation, this inquiry furnishes invaluable insights and evidence-supported strategies to foster efficacious learning and surmount cognitive impediments within the sphere of junior high school education. The conclusions drawn herein contribute to a broader understanding of cognitive dynamics in mathematics education, offering a fresh perspective on enhancing educational practices.
Mathematical framework for accurate prayer times: Insights from the bencet tradition Muhaimin, Lukman Hakim; Kusumah, Yaya S.; Juandi, Dadang; Hendriyanto, Agus; Sahara, Sani
Indonesian Journal of Science and Mathematics Education Vol. 6 No. 3 (2023): Indonesian Journal of Science and Mathematics Education
Publisher : Universitas Islam Negeri Raden Intan Lampung

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24042/ijsme.v6i3.19790

Abstract

Mathematics is fundamental in structuring religious practices, especially in determining prayer times. This study explores the mathematical concepts embedded in the traditional bencet tool used by communities to calculate prayer times accurately. Using a qualitative ethnographic approach, the research examines both the use and crafting of bencet through observations, interviews, and documentation. Based on the Miles and Huberman model, data analysis reveals that the bencet tongkat unconsciously incorporates mathematical concepts such as parallel lines, measurements, and planar surfaces. Similarly, the bencet garis reflects understanding parallel and perpendicular lines, circular constructions for 90° angles, and precise measurements. The findings underscore the deep interconnection between mathematical principles and cultural traditions. This study concludes that the bencet tool represents an untapped resource for ethnomathematics research. The implications highlight the potential of ethnomathematics as an innovative approach to mathematics education, integrating cultural heritage into learning.
Learning Obstacle in the Introduction to Number: A Critical Study Within Didactical Design Research Framework Pauji, Ikbal; Suryadi, Didi; Setambah, Mohd Afifi Bin Bahurudin; Hendriyanto, Agus
Indonesian Journal of Science and Mathematics Education Vol. 6 No. 3 (2023): Indonesian Journal of Science and Mathematics Education
Publisher : Universitas Islam Negeri Raden Intan Lampung

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24042/ijsme.v6i3.19792

Abstract

This research unveils a profound exploration of learning obstacles experienced by elementary school students in understanding the concept of numbers, particularly in recognizing numbers zero to ten, including their notations. This study employs a qualitative approach with a phenomenological design. It sheds light on students' comprehension of the meaning of numbers and numerals, identifying five types of learning obstacles: ontogenic psychological obstacles, ontogenic conceptual obstacles, ontogenic instrumental obstacles, didactical obstacles, and epistemological obstacles. Acting as the primary instrument, the researcher undertakes the entire research process using diagnostic assessments and interview guidelines, from data collection to reduction, presentation, and conclusion. The findings illustrate variations in students' understanding of the meaning and notation of numbers, with the five learning obstacles manifesting in diverse contexts. This analysis is based on students' responses to diagnostic assessments and in-depth interviews. The insights gained underscore the necessity for didactic designs that accommodate concrete aspects, emotional engagement of students, and the evaluation of instructional materials to enhance the understanding of numerical concepts. The research implications include recommendations for developing effective didactic designs to address the identified learning obstacles.
Actually, what does teacher inherit? Epistem, doxa, or hoax: A case study on the topic of sets in Indonesia Hendriyanto, Agus; Fitriana, Laila; Usodo, Budi; Wahyuni, Astri; Azizah, Nurul
Indonesian Journal of Science and Mathematics Education Vol. 8 No. 2 (2025): Indonesian Journal of Science and Mathematics Education
Publisher : Universitas Islam Negeri Raden Intan Lampung

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24042/ijsme.v8i2.28193

Abstract

This research aims to evaluate a selected element of mathematical knowledge intended for teaching in Indonesian schools, namely the concept of sets. The evaluation assesses whether the information conveyed the criteria of knowledge that is Justified, True, and Believed (JTB). This research follows a qualitative approach with a case study design. The research involves 250 students and nine teachers from two different schools. The collected data was analyzed using the Constant Comparative Method (CCM) as the data analysis model. The study's findings reveal that beliefs with truth value only relate to interpreting sets as a well-defined collection of objects. However, teachers and students cannot prove their beliefs and cannot interpret well-defined as an individual's ability to determine a property P. Thus, the belief about sets as a well-defined collection of objects is merely doxa or true belief. This study emphasizes the importance of mathematics education in fostering justified true belief through a focus on critical thinking and conceptual justification, thereby minimizing the occurrence of the Zone of Concept Image Difference (ZCID) between teachers and students.
Improving Creative Thinking Skills through Open-ended Problems in Mathematics Education in terms of Adversity Quotient (Types of Climbers and Campers) Sa'idah, Ulya; Budiyono, Budiyono; Siswanto, Siswanto; Usodo, Budi; Hendriyanto, Agus
JTAM (Jurnal Teori dan Aplikasi Matematika) Vol 8, No 3 (2024): July
Publisher : Universitas Muhammadiyah Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31764/jtam.v8i3.21612

Abstract

Creative thinking is one of the abilities that students must have. This research aims to explore creative thinking skills in solving open-ended problems in grade 7 students at a junior high school in Surakarta. This research uses a qualitative method. The instruments used are questionnaires, questions, and interviews. The test instrument uses one open-ended question on algebra material. The sampling method was carried out by purposive sampling where the subject was selected based on the results of the Adversity Response Profile (ARP) questionnaire score. The research subjects were 7th-grade students at one of Surakarta's private junior high schools who had studied algebraic form operations. Data were collected through tests and interviews with 4 research subjects. The data validity used was method triangulation. The results of the study show that all subjects can go through all stages of the creative thinking process although there are differences in each stage. In the preparation stage, climbers-type students do not need a long time to understand the problem. Unlike the campers, they take time to understand the problem by reading it repeatedly. At the incubation stage, students pause to look for ideas for solving the problem. At the illumination stage, students have different ways of solving the problem. At the verification stage, climbers-type students recalculate the answers written to check their correctness. While campers type students only skim the answers they write. Climbers-type students do not give up easily and do not experience difficulties in solving problems, while campers-type students take longer to understand the problem and almost give up in solving the problem. Based on the findings obtained, teachers need to consider the different types of students' creative thinking in designing class activities in order to improve students' creative thinking abilities through classroom learning.
Construction of Ordinal Numbers and Arithmetic of Ordinal Numbers Agustito, Denik; Kuncoro, Krida Singgih; Istiqomah, Istiqomah; Hendriyanto, Agus
JTAM (Jurnal Teori dan Aplikasi Matematika) Vol 7, No 3 (2023): July
Publisher : Universitas Muhammadiyah Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31764/jtam.v7i3.15039

Abstract

The purpose of this paper is to introduce the idea of how to construct transfinite numbers and study transfinite arithmetic. The research method used is a literature review, which involves collecting various sources such as scientific papers and books related to Cantorian set theory, infinity, ordinal or transfinite arithmetic, as well as the connection between infinity and theology. The study also involves constructing the objects of study, namely ordinal numbers such as finite ordinals and transfinite ordinals, and examining their arithmetic properties. The results of this research include the methods of constructing both finite and transfinite ordinal numbers using two generation principles. Both finite and transfinite ordinal numbers are defined as well-orderings that are also transitive sets. Arithmetic of finite ordinal numbers is well-known, but the arithmetic of transfinite ordinal numbers will be introduced in this paper, including addition, multiplication, and exponentiation.
Mathematical Critical Thinking: Analysis of Middle School Students' Thinking Processes in Solving Trigonometry Problems Tajuddin, Annas Tasyah; Sujadi, Imam; Slamet, Isnandar; Hendriyanto, Agus
Mosharafa: Jurnal Pendidikan Matematika Vol. 12 No. 4 (2023): October
Publisher : Department of Mathematics Education Program IPI Garut

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31980/mosharafa.v12i4.1185

Abstract

Kemampuan berpikir kritis siswa dalam matematika saat ini masih lemah. Penelitian ini bertujuan untuk mengidentifikasi karakteristik kemampuan berpikir kritis matematis siswa dalam menyelesaikan masalah trigonometri. Metode penelitian yang digunakan adalah studi kualitatif dengan desain fenomenologi, melibatkan peneliti sebagai instrumen utama. Penelitian ini menggunakan tes (masalah trigonometri), pedoman wawancara, dan observasi sebagai instrumen non-tes. Subjek penelitian terdiri dari tiga siswa kelas X yang dipilih dengan teknik purposive sampling. Uji keabsahan dilakukan melalui triangulasi metode dan teori, serta analisis data menggunakan teknik induktif. Hasil penelitian menunjukkan bahwa siswa dengan kemampuan berpikir kritis cenderung lebih efektif dan cepat dalam menyelesaikan masalah trigonometri. Mereka memiliki pendekatan unik dalam memecahkan masalah dan fokus pada pencarian jawaban. Pemikiran kritis matematis juga mempengaruhi kemampuan siswa dalam memahami dan menghubungkan informasi yang ada dalam soal. Selain itu, pemikiran kritis matematis berdampak pada pemikiran logis dan daya ingat yang baik, sehingga siswa lebih mudah dalam menentukan formula pemecahan masalah. Students' critical thinking skills in mathematics are currently still weak. This study aims to identify the characteristics of students' mathematical critical thinking abilities in solving trigonometry problems. The research method used is a qualitative study with a phenomenological design involving researchers as the main instrument. This study uses tests (trigonometry problems), interview guidelines, and observation as non-test instruments. The research subjects consisted of three class X students selected by purposive sampling technique. The validity test was carried out through method and theory triangulation and data analysis using inductive techniques. The results showed that students with critical thinking skills tended to be more effective and faster in solving trigonometry problems. They have a unique approach to solving problems and focus on finding answers. Mathematical critical thinking also affects students' ability to understand and relate the information contained in the problem. In addition, mathematical critical thinking impacts logical thinking and good memory, so students find it easier to determine problem-solving formulas.